At some point in a flow system of oxygen \(M_{1}=3.0, T_{t 1}=800^{\circ} \mathrm{R}\), and \(p_{1}=35\) psia. At a section farther along in the duct, the Mach number has been reduced to \(M_{2}=1.5\) by heat transfer.

(a) Find the static and stagnation temperatures and pressures at the downstream section.

(b) Determine the direction and amount of heat transfer that took place between these two sections.